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Finding the Third Proportional to 404,970 and 604,176

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Solution

The third proportional to 404,970 and 604,176 is: 901,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,970 : 604,176 = 604,176 : x
  2. Step 2: Convert to fraction form
    404,970/604,176 = 604,176/x
  3. Step 3: Cross multiply
    404,970x = 604,176 × 604,176
  4. Step 4: Simplify right side
    404,970x = 365,028,638,976
  5. Step 5: Solve for x
    x = 365,028,638,976/404,970
  6. Step 6: Final answer
    x = 901,372.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.